On Einstein four-manifolds

Detalhes bibliográficos
Autor(a) principal: Costa, Ézio de Araújo
Data de Publicação: 2004
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/7477
Resumo: Texto completo: acesso restrito. p. 244-255.
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spelling Costa, Ézio de AraújoCosta, Ézio de Araújo2012-12-12T20:00:59Z20040393-0440http://www.repositorio.ufba.br/ri/handle/ri/7477v. 51, n. 2Texto completo: acesso restrito. p. 244-255.In this paper we obtain obstructions to the existence of Einstein metrics satisfying auxiliary sectional curvature bounds. In particular, we give sufficient conditions for a compact-oriented Einstein four-manifold M to be isometric to either the sphere S4 or the complex projective space CP2. Also, we improve the Hitchin–Thorpe’s inequality which relates the Euler characteristic of M and its signature.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-12-12T20:00:59Z No. of bitstreams: 1 1-s2.0-S0393044003001918-main.pdf: 209463 bytes, checksum: 85115fde2081c7441c8a26f09fbd035e (MD5)Made available in DSpace on 2012-12-12T20:00:59Z (GMT). No. of bitstreams: 1 1-s2.0-S0393044003001918-main.pdf: 209463 bytes, checksum: 85115fde2081c7441c8a26f09fbd035e (MD5) Previous issue date: 2004EBEPEGEhttp://dx.doi.org/10.1016/j.geomphys.2003.10.013reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAFour-manifoldEinstein manifoldSectional curvatureEuler characteristicOn Einstein four-manifoldsJournal of Geometry and Physics (info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL1-s2.0-S0393044003001918-main.pdf1-s2.0-S0393044003001918-main.pdfapplication/pdf209463https://repositorio.ufba.br/bitstream/ri/7477/1/1-s2.0-S0393044003001918-main.pdf85115fde2081c7441c8a26f09fbd035eMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/7477/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT1-s2.0-S0393044003001918-main.pdf.txt1-s2.0-S0393044003001918-main.pdf.txtExtracted texttext/plain23051https://repositorio.ufba.br/bitstream/ri/7477/3/1-s2.0-S0393044003001918-main.pdf.txtf23ae9d5e6b0ef94166e24d0309b7ef2MD53ri/74772022-07-05 14:03:50.572oai:repositorio.ufba.br:ri/7477VGVybW8gZGUgTGljZW7vv71hLCBu77+9byBleGNsdXNpdm8sIHBhcmEgbyBkZXDvv71zaXRvIG5vIHJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVRkJBCgogICAgUGVsbyBwcm9jZXNzbyBkZSBzdWJtaXNz77+9byBkZSBkb2N1bWVudG9zLCBvIGF1dG9yIG91IHNldQpyZXByZXNlbnRhbnRlIGxlZ2FsLCBhbyBhY2VpdGFyIGVzc2UgdGVybW8gZGUgbGljZW7vv71hLCBjb25jZWRlIGFvClJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkYSBCYWhpYSBvIGRpcmVpdG8KZGUgbWFudGVyIHVtYSBj77+9cGlhIGVtIHNldSByZXBvc2l077+9cmlvIGNvbSBhIGZpbmFsaWRhZGUsIHByaW1laXJhLCAKZGUgcHJlc2VydmHvv73vv71vLiBFc3NlcyB0ZXJtb3MsIG7vv71vIGV4Y2x1c2l2b3MsIG1hbnTvv71tIG9zIGRpcmVpdG9zIGRlIAphdXRvci9jb3B5cmlnaHQsIG1hcyBlbnRlbmRlIG8gZG9jdW1lbnRvIGNvbW8gcGFydGUgZG8gYWNlcnZvIGludGVsZWN0dWFsIGRlc3NhIFVuaXZlcnNpZGFkZS4gCgogICAgUGFyYSBvcyBkb2N1bWVudG9zIHB1YmxpY2Fkb3MgY29tIHJlcGFzc2UgZGUgZGlyZWl0b3MgZGUgZGlzdHJpYnVp77+977+9bywgZXNzZSB0ZXJtbyBkZSBsaWNlbu+/vWEgZW50ZW5kZSBxdWU6IAoKICAgIE1hbnRlbmRvIG9zICBkaXJlaXRvcyBhdXRvcmFpcywgcmVwYXNzYWRvcyBhIHRlcmNlaXJvcywgZW0gY2FzbyAKZGUgcHVibGljYe+/ve+/vWVzLCBvIHJlcG9zaXTvv71yaW8gcG9kZSByZXN0cmluZ2lyIG8gYWNlc3NvIGFvIHRleHRvIAppbnRlZ3JhbCwgbWFzIGxpYmVyYSBhcyBpbmZvcm1h77+977+9ZXMgc29icmUgbyBkb2N1bWVudG8gKE1ldGFkYWRvcyBkZXNjcml0aXZvcykuCgogRGVzdGEgZm9ybWEsIGF0ZW5kZW5kbyBhb3MgYW5zZWlvcyBkZXNzYSB1bml2ZXJzaWRhZGUgCmVtIG1hbnRlciBzdWEgcHJvZHXvv73vv71vIGNpZW5077+9ZmljYSBjb20gYXMgcmVzdHJp77+977+9ZXMgaW1wb3N0YXMgcGVsb3MgCmVkaXRvcmVzIGRlIHBlcmnvv71kaWNvcy4gCgogICAgUGFyYSBhcyBwdWJsaWNh77+977+9ZXMgZW0gaW5pY2lhdGl2YXMgcXVlIHNlZ3VlbSBhIHBvbO+/vXRpY2EgZGUgCkFjZXNzbyBBYmVydG8sIG9zIGRlcO+/vXNpdG9zIGNvbXB1bHPvv71yaW9zIG5lc3NlIHJlcG9zaXTvv71yaW8gbWFudO+/vW0gCm9zIGRpcmVpdG9zIGF1dG9yYWlzLCBtYXMgbWFudO+/vW0gbyBhY2Vzc28gaXJyZXN0cml0byBhbyBtZXRhZGFkb3MgCmUgdGV4dG8gY29tcGxldG8uIEFzc2ltLCBhIGFjZWl0Ye+/ve+/vW8gZGVzc2UgdGVybW8gbu+/vW8gbmVjZXNzaXRhIGRlIApjb25zZW50aW1lbnRvIHBvciBwYXJ0ZSBkZSBhdXRvcmVzL2RldGVudG9yZXMgZG9zIGRpcmVpdG9zLCBwb3IgCmVzdGFyZW0gZW0gaW5pY2lhdGl2YXMgZGUgYWNlc3NvIGFiZXJ0by4KCiAgICBFbSBhbWJvcyBvIGNhc28sIGVzc2UgdGVybW8gZGUgbGljZW7vv71hLCBwb2RlIHNlciBhY2VpdG8gcGVsbyAKYXV0b3IsIGRldGVudG9yZXMgZGUgZGlyZWl0b3MgZS9vdSB0ZXJjZWlyb3MgYW1wYXJhZG9zIHBlbGEgCnVuaXZlcnNpZGFkZS4gRGV2aWRvIGFvcyBkaWZlcmVudGVzIHByb2Nlc3NvcyBwZWxvIHF1YWwgYSBzdWJtaXNz77+9byAKcG9kZSBvY29ycmVyLCBvIHJlcG9zaXTvv71yaW8gcGVybWl0ZSBhIGFjZWl0Ye+/ve+/vW8gZGEgbGljZW7vv71hIHBvciAKdGVyY2Vpcm9zLCBzb21lbnRlIG5vcyBjYXNvcyBkZSBkb2N1bWVudG9zIHByb2R1emlkb3MgcG9yIGludGVncmFudGVzIApkYSBVRkJBIGUgc3VibWV0aWRvcyBwb3IgcGVzc29hcyBhbXBhcmFkYXMgcG9yIGVzdGEgaW5zdGl0dWnvv73vv71vLgo=Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:50Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv On Einstein four-manifolds
dc.title.alternative.pt_BR.fl_str_mv Journal of Geometry and Physics (
title On Einstein four-manifolds
spellingShingle On Einstein four-manifolds
Costa, Ézio de Araújo
Four-manifold
Einstein manifold
Sectional curvature
Euler characteristic
title_short On Einstein four-manifolds
title_full On Einstein four-manifolds
title_fullStr On Einstein four-manifolds
title_full_unstemmed On Einstein four-manifolds
title_sort On Einstein four-manifolds
author Costa, Ézio de Araújo
author_facet Costa, Ézio de Araújo
author_role author
dc.contributor.author.fl_str_mv Costa, Ézio de Araújo
Costa, Ézio de Araújo
dc.subject.por.fl_str_mv Four-manifold
Einstein manifold
Sectional curvature
Euler characteristic
topic Four-manifold
Einstein manifold
Sectional curvature
Euler characteristic
description Texto completo: acesso restrito. p. 244-255.
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2012-12-12T20:00:59Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/7477
dc.identifier.issn.none.fl_str_mv 0393-0440
dc.identifier.number.pt_BR.fl_str_mv v. 51, n. 2
identifier_str_mv 0393-0440
v. 51, n. 2
url http://www.repositorio.ufba.br/ri/handle/ri/7477
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv EBEPEGE
publisher.none.fl_str_mv EBEPEGE
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/j.geomphys.2003.10.013
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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instname_str Universidade Federal da Bahia (UFBA)
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reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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